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Finding the Fourth Proportional to 912.97, 1,260.50 and 702.77

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Solution

The fourth proportional to 912.97, 1,260.50 and 702.77 is: 970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.97 : 1,260.50 = 702.77 : x
  2. Step 2: Convert to fraction form
    912.97/1,260.50 = 702.77/x
  3. Step 3: Cross multiply
    912.97x = 1,260.50 × 702.77
  4. Step 4: Simplify right side
    912.97x = 885,838.07
  5. Step 5: Solve for x
    x = 885,838.07/912.97
  6. Step 6: Final answer
    x = 970.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.